653631157 has 2 divisors, whose sum is σ = 653631158. Its totient is φ = 653631156.

The previous prime is 653631137. The next prime is 653631161. The reversal of 653631157 is 751136356.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 559133316 + 94497841 = 23646^2 + 9721^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-653631157 is a prime.

It is equal to p_33972355 and since 653631157 and 33972355 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (653631107) 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, 326815578 + 326815579.

It is an arithmetic number, because the mean of its divisors is an integer number (326815579).

Almost surely, 2^653631157 is an apocalyptic number.

It is an amenable number.

653631157 is a deficient number, since it is larger than the sum of its proper divisors (1).

653631157 is an equidigital number, since it uses as much as digits as its factorization.

653631157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 56700, while the sum is 37.

The square root of 653631157 is about 25566.2112367085. The cubic root of 653631157 is about 867.8491622943.

The spelling of 653631157 in words is "six hundred fifty-three million, six hundred thirty-one thousand, one hundred fifty-seven".