611201520 has 120 divisors (see below), whose sum is σ = 2108186496. Its totient is φ = 158575104.

The previous prime is 611201509. The next prime is 611201533. The reversal of 611201520 is 25102116.

611201520 is a `hidden beast` number, since 611 + 2 + 0 + 1 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 611201493 and 611201502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15169 + ... + 38111.

Almost surely, 2^611201520 is an apocalyptic number.

611201520 is a gapful number since it is divisible by the number (60) 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 611201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054093248).

611201520 is an abundant number, since it is smaller than the sum of its proper divisors (1496984976).

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

611201520 is a wasteful number, since it uses less digits than its factorization.

611201520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22999 (or 22990 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 611201520 is about 24722.4901658389. The cubic root of 611201520 is about 848.6490743785.

Adding to 611201520 its reverse (25102116), we get a palindrome (636303636).

The spelling of 611201520 in words is "six hundred eleven million, two hundred one thousand, five hundred twenty".