61137573131 has 2 divisors, whose sum is σ = 61137573132. Its totient is φ = 61137573130.

The previous prime is 61137573121. The next prime is 61137573137. The reversal of 61137573131 is 13137573116.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 61137573131 - 2¹⁴ = 61137556747 is a prime.

It is a super-2 number, since 2×61137573131² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61137573137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30568786565 + 30568786566.

It is an arithmetic number, because the mean of its divisors is an integer number (30568786566).

Almost surely, 2^61137573131 is an apocalyptic number.

61137573131 is a deficient number, since it is larger than the sum of its proper divisors (1).

61137573131 is an equidigital number, since it uses as much as digits as its factorization.

61137573131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 39690, while the sum is 38.

The spelling of 61137573131 in words is "sixty-one billion, one hundred thirty-seven million, five hundred seventy-three thousand, one hundred thirty-one".