753461961 has 32 divisors (see below), whose sum is σ = 1179360000. Its totient is φ = 418897920.

The previous prime is 753461927. The next prime is 753461971. The reversal of 753461961 is 169164357.

It is not a de Polignac number, because 753461961 - 2⁶ = 753461897 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (753461921) 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, 385615 + ... + 387563.

It is an arithmetic number, because the mean of its divisors is an integer number (36855000).

Almost surely, 2^753461961 is an apocalyptic number.

It is an amenable number.

753461961 is a deficient number, since it is larger than the sum of its proper divisors (425898039).

753461961 is a wasteful number, since it uses less digits than its factorization.

753461961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449.

The product of its digits is 136080, while the sum is 42.

The square root of 753461961 is about 27449.2615747674. The cubic root of 753461961 is about 909.9561066459.

The spelling of 753461961 in words is "seven hundred fifty-three million, four hundred sixty-one thousand, nine hundred sixty-one".