611253504 has 108 divisors (see below), whose sum is σ = 1769695200. Its totient is φ = 202908672.

The previous prime is 611253493. The next prime is 611253509. The reversal of 611253504 is 405352116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611253509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 826767 + ... + 827505.

Almost surely, 2^611253504 is an apocalyptic number.

611253504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 611253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884847600).

611253504 is an abundant number, since it is smaller than the sum of its proper divisors (1158441696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

611253504 is a wasteful number, since it uses less digits than its factorization.

611253504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 611253504 is about 24723.5414938880. The cubic root of 611253504 is about 848.6731335043.

The spelling of 611253504 in words is "six hundred eleven million, two hundred fifty-three thousand, five hundred four".