1000552311 has 64 divisors (see below), whose sum is σ = 1686220800. Its totient is φ = 580867200.

The previous prime is 1000552271. The next prime is 1000552321. The reversal of 1000552311 is 1132550001.

1000552311 is a `hidden beast` number, since 100 + 0 + 552 + 3 + 11 = 666.

It is not a de Polignac number, because 1000552311 - 2¹³ = 1000544119 is a prime.

It is a super-2 number, since 2×1000552311² = 2002209854094881442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000552321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1003065 + ... + 1004061.

It is an arithmetic number, because the mean of its divisors is an integer number (26347200).

Almost surely, 2^1000552311 is an apocalyptic number.

1000552311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000552311 is a deficient number, since it is larger than the sum of its proper divisors (685668489).

1000552311 is a wasteful number, since it uses less digits than its factorization.

1000552311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1000552311 is about 31631.5081998946. The cubic root of 1000552311 is about 1000.1840697829.

The spelling of 1000552311 in words is "one billion, five hundred fifty-two thousand, three hundred eleven".