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1457120501 is a prime number
BaseRepresentation
bin101011011011001…
…1110010011110101
310202112211101112222
41112312132103311
510441010324001
6400331052125
751052214504
oct12666362365
93675741488
101457120501
11688563221
12347ba1045
131a2b5aba5
14db74083b
1587dc961b
hex56d9e4f5

1457120501 has 2 divisors, whose sum is σ = 1457120502. Its totient is φ = 1457120500.

The previous prime is 1457120411. The next prime is 1457120513. The reversal of 1457120501 is 1050217541.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 934769476 + 522351025 = 30574^2 + 22855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1457120501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1457120701) 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 as a sum of consecutive naturals, namely, 728560250 + 728560251.

It is an arithmetic number, because the mean of its divisors is an integer number (728560251).

Almost surely, 21457120501 is an apocalyptic number.

It is an amenable number.

1457120501 is a deficient number, since it is larger than the sum of its proper divisors (1).

1457120501 is an equidigital number, since it uses as much as digits as its factorization.

1457120501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 1457120501 is about 38172.2477855313. The cubic root of 1457120501 is about 1133.7008950724.

The spelling of 1457120501 in words is "one billion, four hundred fifty-seven million, one hundred twenty thousand, five hundred one".