617480253 has 48 divisors (see below), whose sum is σ = 1013288640. Its totient is φ = 373434624.

The previous prime is 617480249. The next prime is 617480261. The reversal of 617480253 is 352084716.

It is not a de Polignac number, because 617480253 - 2² = 617480249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617480203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184725 + ... + 188037.

It is an arithmetic number, because the mean of its divisors is an integer number (21110180).

Almost surely, 2^617480253 is an apocalyptic number.

It is an amenable number.

617480253 is a deficient number, since it is larger than the sum of its proper divisors (395808387).

617480253 is a wasteful number, since it uses less digits than its factorization.

617480253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 617480253 is about 24849.1499452195. The cubic root of 617480253 is about 851.5451723364.

The spelling of 617480253 in words is "six hundred seventeen million, four hundred eighty thousand, two hundred fifty-three".