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53507403625 = 5313412932741
BaseRepresentation
bin110001110101010010…
…100010111101101001
312010010000121201212211
4301311102202331221
51334040343404000
640325253205121
73602651266204
oct616522427551
9163100551784
1053507403625
1120768597335
12a4536307a1
1350795cc1a0
14283849893b
1515d27657ba
hexc754a2f69

53507403625 has 64 divisors (see below), whose sum is σ = 73946343744. Its totient is φ = 38403840000.

The previous prime is 53507403581. The next prime is 53507403629. The reversal of 53507403625 is 52630470535.

It can be written as a sum of positive squares in 32 ways, for example, as 52648679209 + 858724416 = 229453^2 + 29304^2 .

It is not a de Polignac number, because 53507403625 - 215 = 53507370857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53507403629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19519755 + ... + 19522495.

It is an arithmetic number, because the mean of its divisors is an integer number (1155411621).

Almost surely, 253507403625 is an apocalyptic number.

It is an amenable number.

53507403625 is a deficient number, since it is larger than the sum of its proper divisors (20438940119).

53507403625 is a wasteful number, since it uses less digits than its factorization.

53507403625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 40.

The spelling of 53507403625 in words is "fifty-three billion, five hundred seven million, four hundred three thousand, six hundred twenty-five".

Divisors: 1 5 13 25 41 65 125 205 293 325 533 1025 1465 1625 2665 2741 3809 5125 7325 12013 13325 13705 19045 35633 36625 60065 66625 68525 95225 112381 156169 178165 300325 342625 476125 561905 780845 803113 890825 1460953 1501625 2809525 3904225 4015565 4454125 7304765 10440469 14047625 19521125 20077825 32927633 36523825 52202345 100389125 164638165 182619125 261011725 428059229 823190825 1305058625 2140296145 4115954125 10701480725 53507403625