66135051 has 36 divisors (see below), whose sum is σ = 103521600. Its totient is φ = 40633824.

The previous prime is 66135031. The next prime is 66135061. The reversal of 66135051 is 15053166.

It is a happy number.

It is not a de Polignac number, because 66135051 - 2⁷ = 66134923 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66135031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 137830 + ... + 138308.

It is an arithmetic number, because the mean of its divisors is an integer number (2875600).

Almost surely, 2^66135051 is an apocalyptic number.

66135051 is a deficient number, since it is larger than the sum of its proper divisors (37386549).

66135051 is a wasteful number, since it uses less digits than its factorization.

66135051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 66135051 is about 8132.3459714894. The cubic root of 66135051 is about 404.3994574510.

It can be divided in two parts, 6613 and 5051, that added together give a square (11664 = 108²).

The spelling of 66135051 in words is "sixty-six million, one hundred thirty-five thousand, fifty-one".