461457015652251 has 16 divisors (see below), whose sum is σ = 688630096356000. Its totient is φ = 305392477509504.

The previous prime is 461457015652247. The next prime is 461457015652267. The reversal of 461457015652251 is 152256510754164.

461457015652251 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 5 + 7 + 0 + 1 + 565 + 22 + 51 = 666.

It is not a de Polignac number, because 461457015652251 - 2² = 461457015652247 is a prime.

It is a super-2 number, since 2×461457015652251² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (461457015652231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62375910826 + ... + 62375918223.

It is an arithmetic number, because the mean of its divisors is an integer number (43039381022250).

Almost surely, 2^{461457015652251} is an apocalyptic number.

461457015652251 is a deficient number, since it is larger than the sum of its proper divisors (227173080703749).

461457015652251 is a wasteful number, since it uses less digits than its factorization.

461457015652251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124751829195 (or 124751829189 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 461457015652251 in words is "four hundred sixty-one trillion, four hundred fifty-seven billion, fifteen million, six hundred fifty-two thousand, two hundred fifty-one".