1253938921 has 9 divisors (see below), whose sum is σ = 1332678711. Its totient is φ = 1179611232.

The previous prime is 1253938891. The next prime is 1253938963. The reversal of 1253938921 is 1298393521.

The square root of 1253938921 is 35411.

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., 976250025 + 277688896 = 31245^2 + 16664^2 .

It is not a de Polignac number, because 1253938921 - 2¹³ = 1253930729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1253938981) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 600946 + ... + 603028.

Almost surely, 2^1253938921 is an apocalyptic number.

1253938921 is the 35411-st square number.

1253938921 is the 17706-th centered octagonal number.

It is an amenable number.

1253938921 is a deficient number, since it is larger than the sum of its proper divisors (78739790).

1253938921 is an frugal number, since it uses more digits than its factorization.

1253938921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4200 (or 2100 counting only the distinct ones).

The product of its digits is 116640, while the sum is 43.

The cubic root of 1253938921 is about 1078.3476450085.

The spelling of 1253938921 in words is "one billion, two hundred fifty-three million, nine hundred thirty-eight thousand, nine hundred twenty-one".