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53037973 is a prime number
BaseRepresentation
bin1100101001010…
…0101110010101
310200210121102101
43022110232111
5102034203343
65132442101
71212546442
oct312245625
9120717371
1053037973
1127a3623a
1215919331
13acb0121
1470889c9
1549c9e4d
hex3294b95

53037973 has 2 divisors, whose sum is σ = 53037974. Its totient is φ = 53037972.

The previous prime is 53037899. The next prime is 53037997. The reversal of 53037973 is 37973035.

53037973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51581124 + 1456849 = 7182^2 + 1207^2 .

It is a cyclic number.

It is not a de Polignac number, because 53037973 - 29 = 53037461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53037073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26518986 + 26518987.

It is an arithmetic number, because the mean of its divisors is an integer number (26518987).

Almost surely, 253037973 is an apocalyptic number.

It is an amenable number.

53037973 is a deficient number, since it is larger than the sum of its proper divisors (1).

53037973 is an equidigital number, since it uses as much as digits as its factorization.

53037973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59535, while the sum is 37.

The square root of 53037973 is about 7282.7174186563. The cubic root of 53037973 is about 375.7182630871.

It can be divided in two parts, 530 and 37973, that added together give a triangular number (38503 = T277).

The spelling of 53037973 in words is "fifty-three million, thirty-seven thousand, nine hundred seventy-three".