6010900900 has 27 divisors (see below), whose sum is σ = 13045337571. Its totient is φ = 2404050240.

The previous prime is 6010900879. The next prime is 6010900927. The reversal of 6010900900 is 90090106.

The square root of 6010900900 is 77530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1779658596 + 4231242304 = 42186^2 + 65048^2 .

It is a super-2 number, since 2×6010900900² = 72261859259241620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 771424 + ... + 779176.

Almost surely, 2^6010900900 is an apocalyptic number.

6010900900 is the 77530-th square number.

It is an amenable number.

6010900900 is an abundant number, since it is smaller than the sum of its proper divisors (7034436671).

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

6010900900 is an frugal number, since it uses more digits than its factorization.

6010900900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15520 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The cubic root of 6010900900 is about 1818.2203853865.

Multiplying 6010900900 by its sum of digits (25), we get a square (150272522500 = 387650²).

6010900900 divided by its sum of digits (25) gives a square (240436036 = 15506²).

The spelling of 6010900900 in words is "six billion, ten million, nine hundred thousand, nine hundred".