1026257121 has 20 divisors (see below), whose sum is σ = 1539658692. Its totient is φ = 681222528.

The previous prime is 1026257093. The next prime is 1026257137. The reversal of 1026257121 is 1217526201.

1026257121 is a `hidden beast` number, since 10 + 2 + 62 + 571 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 558140625 + 468116496 = 23625^2 + 21636^2 .

It is not a de Polignac number, because 1026257121 - 2¹⁰ = 1026256097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1026257521) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8316 + ... + 46061.

Almost surely, 2^1026257121 is an apocalyptic number.

It is an amenable number.

1026257121 is a deficient number, since it is larger than the sum of its proper divisors (513401571).

1026257121 is an equidigital number, since it uses as much as digits as its factorization.

1026257121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54622 (or 54613 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1026257121 is about 32035.2481026759. The cubic root of 1026257121 is about 1008.6768678758.

It can be divided in two parts, 102625 and 7121, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 1026257121 in words is "one billion, twenty-six million, two hundred fifty-seven thousand, one hundred twenty-one".