66151825731 has 48 divisors (see below), whose sum is σ = 99912290400. Its totient is φ = 42123303936.

The previous prime is 66151825709. The next prime is 66151825759. The reversal of 66151825731 is 13752815166.

66151825731 is a `hidden beast` number, since 6 + 61 + 5 + 18 + 2 + 573 + 1 = 666.

It is not a de Polignac number, because 66151825731 - 2⁹ = 66151825219 is a prime.

It is a super-2 number, since 2×66151825731² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66151824731) 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 in 47 ways as a sum of consecutive naturals, for example, 18077380 + ... + 18081038.

It is an arithmetic number, because the mean of its divisors is an integer number (2081506050).

Almost surely, 2^66151825731 is an apocalyptic number.

66151825731 is a deficient number, since it is larger than the sum of its proper divisors (33760464669).

66151825731 is a wasteful number, since it uses less digits than its factorization.

66151825731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4417 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 66151825731 in words is "sixty-six billion, one hundred fifty-one million, eight hundred twenty-five thousand, seven hundred thirty-one".