51133525101 has 8 divisors (see below), whose sum is σ = 75753370560. Its totient is φ = 34089016716.

The previous prime is 51133525099. The next prime is 51133525111. The reversal of 51133525101 is 10152533115.

51133525101 is a `hidden beast` number, since 5 + 1 + 1 + 33 + 525 + 101 = 666.

It is not a de Polignac number, because 51133525101 - 2¹ = 51133525099 is a prime.

It is a super-2 number, since 2×51133525101² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1893834263 = 51133525101 / (5 + 1 + 1 + 3 + 3 + 5 + 2 + 5 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51133525111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 946917105 + ... + 946917158.

It is an arithmetic number, because the mean of its divisors is an integer number (9469171320).

Almost surely, 2^51133525101 is an apocalyptic number.

It is an amenable number.

51133525101 is a deficient number, since it is larger than the sum of its proper divisors (24619845459).

51133525101 is a wasteful number, since it uses less digits than its factorization.

51133525101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893834272 (or 1893834266 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 51133525101 in words is "fifty-one billion, one hundred thirty-three million, five hundred twenty-five thousand, one hundred one".