51677145135 has 72 divisors (see below), whose sum is σ = 113670597456. Its totient is φ = 21476206080.

The previous prime is 51677145077. The next prime is 51677145199. The reversal of 51677145135 is 53154177615.

51677145135 is a `hidden beast` number, since 5 + 1 + 67 + 71 + 4 + 513 + 5 = 666.

It is not a de Polignac number, because 51677145135 - 2¹⁵ = 51677112367 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1041034 + ... + 1089543.

It is an arithmetic number, because the mean of its divisors is an integer number (1578758298).

Almost surely, 2^51677145135 is an apocalyptic number.

51677145135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51677145135 is an abundant number, since it is smaller than the sum of its proper divisors (61993452321).

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

51677145135 is a wasteful number, since it uses less digits than its factorization.

51677145135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130613 (or 2130603 counting only the distinct ones).

The product of its digits is 441000, while the sum is 45.

The spelling of 51677145135 in words is "fifty-one billion, six hundred seventy-seven million, one hundred forty-five thousand, one hundred thirty-five".