1053101261 has 24 divisors (see below), whose sum is σ = 1159634784. Its totient is φ = 955503360.

The previous prime is 1053101251. The next prime is 1053101263. The reversal of 1053101261 is 1621013501.

It is not a de Polignac number, because 1053101261 - 2⁶ = 1053101197 is a prime.

It is a super-2 number, since 2×1053101261² = 2218044531839580242, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053101263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030931 + ... + 1031951.

It is an arithmetic number, because the mean of its divisors is an integer number (48318116).

Almost surely, 2^1053101261 is an apocalyptic number.

It is an amenable number.

1053101261 is a deficient number, since it is larger than the sum of its proper divisors (106533523).

1053101261 is a wasteful number, since it uses less digits than its factorization.

1053101261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1053101261 is about 32451.5217054609. The cubic root of 1053101261 is about 1017.3960432039.

Adding to 1053101261 its reverse (1621013501), we get a palindrome (2674114762).

The spelling of 1053101261 in words is "one billion, fifty-three million, one hundred one thousand, two hundred sixty-one".