75213611001 has 27 divisors (see below), whose sum is σ = 109747481389. Its totient is φ = 49637236992.

The previous prime is 75213610993. The next prime is 75213611087. The reversal of 75213611001 is 10011631257.

The square root of 75213611001 is 274251.

It is a perfect power (a square), and thus also a powerful number.

75213611001 is a `hidden beast` number, since 7 + 521 + 36 + 1 + 100 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3591005625 + 71622605376 = 59925^2 + 267624^2 .

It is not a de Polignac number, because 75213611001 - 2³ = 75213610993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75213611401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92970685 + ... + 92971493.

Almost surely, 2^75213611001 is an apocalyptic number.

75213611001 is the 274251-st square number.

75213611001 is the 137126-th centered octagonal number.

It is an amenable number.

75213611001 is a deficient number, since it is larger than the sum of its proper divisors (34533870388).

75213611001 is an frugal number, since it uses more digits than its factorization.

75213611001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 75213611001 in words is "seventy-five billion, two hundred thirteen million, six hundred eleven thousand, one".