12953577 has 32 divisors (see below), whose sum is σ = 22192128. Its totient is φ = 6532416.

The previous prime is 12953557. The next prime is 12953593. The reversal of 12953577 is 77535921.

It is not a de Polignac number, because 12953577 - 2⁶ = 12953513 is a prime.

It is a super-3 number, since 3×12953577³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12953537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5248 + ... + 7310.

It is an arithmetic number, because the mean of its divisors is an integer number (693504).

Almost surely, 2^12953577 is an apocalyptic number.

It is an amenable number.

12953577 is a deficient number, since it is larger than the sum of its proper divisors (9238551).

12953577 is a wasteful number, since it uses less digits than its factorization.

12953577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109.

The product of its digits is 66150, while the sum is 39.

The square root of 12953577 is about 3599.1078061097. The cubic root of 12953577 is about 234.8532477448.

It can be divided in two parts, 12953 and 577, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 12953577 in words is "twelve million, nine hundred fifty-three thousand, five hundred seventy-seven".