61277657077512 has 48 divisors (see below), whose sum is σ = 165983223219840. Its totient is φ = 20423066988768.

The previous prime is 61277657077487. The next prime is 61277657077517. The reversal of 61277657077512 is 21577075677216.

61277657077512 is a `hidden beast` number, since 6 + 1 + 2 + 7 + 7 + 6 + 570 + 7 + 7 + 51 + 2 = 666.

It is a super-2 number, since 2×61277657077512² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61277657077512.

It is not an unprimeable number, because it can be changed into a prime (61277657077517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58197588 + ... + 59241155.

It is an arithmetic number, because the mean of its divisors is an integer number (3457983817080).

Almost surely, 2^{61277657077512} is an apocalyptic number.

It is an amenable number.

61277657077512 is an abundant number, since it is smaller than the sum of its proper divisors (104705566142328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61277657077512 is a wasteful number, since it uses less digits than its factorization.

61277657077512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117446002 (or 117445995 counting only the distinct ones).

The product of its (nonzero) digits is 60505200, while the sum is 63.

The spelling of 61277657077512 in words is "sixty-one trillion, two hundred seventy-seven billion, six hundred fifty-seven million, seventy-seven thousand, five hundred twelve".