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56137957 is a prime number
BaseRepresentation
bin1101011000100…
…1100011100101
310220122002210121
43112021203211
5103332403312
65323121541
71251110341
oct326114345
9126562717
1056137957
1129763307
12169732b1
13b827135
147654621
154ddd707
hex35898e5

56137957 has 2 divisors, whose sum is σ = 56137958. Its totient is φ = 56137956.

The previous prime is 56137933. The next prime is 56137967. The reversal of 56137957 is 75973165.

56137957 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., 55338721 + 799236 = 7439^2 + 894^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-56137957 is a prime.

It is a super-2 number, since 2×561379572 = 6302940432267698, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (56137967) 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, 28068978 + 28068979.

It is an arithmetic number, because the mean of its divisors is an integer number (28068979).

Almost surely, 256137957 is an apocalyptic number.

It is an amenable number.

56137957 is a deficient number, since it is larger than the sum of its proper divisors (1).

56137957 is an equidigital number, since it uses as much as digits as its factorization.

56137957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 198450, while the sum is 43.

The square root of 56137957 is about 7492.5267433623. The cubic root of 56137957 is about 382.9001482616.

The spelling of 56137957 in words is "fifty-six million, one hundred thirty-seven thousand, nine hundred fifty-seven".