21753002601 has 96 divisors (see below), whose sum is σ = 36168168960. Its totient is φ = 12909093120.

The previous prime is 21753002597. The next prime is 21753002639. The reversal of 21753002601 is 10620035712.

It is a happy number.

21753002601 is a `hidden beast` number, since 2 + 1 + 7 + 53 + 0 + 0 + 2 + 601 = 666.

It is not a de Polignac number, because 21753002601 - 2² = 21753002597 is a prime.

It is a super-2 number, since 2×21753002601² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21753002641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46982496 + ... + 46982958.

It is an arithmetic number, because the mean of its divisors is an integer number (376751760).

Almost surely, 2^21753002601 is an apocalyptic number.

It is an amenable number.

21753002601 is a deficient number, since it is larger than the sum of its proper divisors (14415166359).

21753002601 is a wasteful number, since it uses less digits than its factorization.

21753002601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 21753002601 its product of nonzero digits (2520), we get a square (21753005121 = 147489²).

The spelling of 21753002601 in words is "twenty-one billion, seven hundred fifty-three million, two thousand, six hundred one".