9780687053281 has 27 divisors (see below), whose sum is σ = 10036245088467. Its totient is φ = 9531592053840.

The previous prime is 9780687053191. The next prime is 9780687053323. The reversal of 9780687053281 is 1823507860879.

It is a happy number.

The square root of 9780687053281 is 3127409.

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., 318049753681 + 9462637299600 = 563959^2 + 3076140^2 .

It is not a de Polignac number, because 9780687053281 - 2⁷ = 9780687053153 is a prime.

It is a super-2 number, since 2×9780687053281² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9780687053381) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31858915330 + ... + 31858915636.

Almost surely, 2^{9780687053281} is an apocalyptic number.

9780687053281 is the 3127409-th square number.

9780687053281 is the 1563705-th centered octagonal number.

It is an amenable number.

9780687053281 is a deficient number, since it is larger than the sum of its proper divisors (255558035186).

9780687053281 is an frugal number, since it uses more digits than its factorization.

9780687053281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 64.

Multiplying 9780687053281 by its sum of digits (64), we get a square (625963971409984 = 25019272²).

The spelling of 9780687053281 in words is "nine trillion, seven hundred eighty billion, six hundred eighty-seven million, fifty-three thousand, two hundred eighty-one".