511267900900 has 27 divisors (see below), whose sum is σ = 1109466861321. Its totient is φ = 204504300240.

The previous prime is 511267900889. The next prime is 511267900943. The reversal of 511267900900 is 9009762115.

The square root of 511267900900 is 715030.

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

It can be written as a sum of positive squares in only one way, i.e., 184056444324 + 327211456576 = 429018^2 + 572024^2 .

It is a super-2 number, since 2×511267900900² (a number of 24 digits) contains 22 as substring.

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, 7114549 + ... + 7186051.

Almost surely, 2^511267900900 is an apocalyptic number.

511267900900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

511267900900 is the 715030-th square number.

It is an amenable number.

511267900900 is an abundant number, since it is smaller than the sum of its proper divisors (598198960421).

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

511267900900 is an frugal number, since it uses more digits than its factorization.

511267900900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143020 (or 71510 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 40.

The spelling of 511267900900 in words is "five hundred eleven billion, two hundred sixty-seven million, nine hundred thousand, nine hundred".