1353872025 has 81 divisors (see below), whose sum is σ = 2677430847. Its totient is φ = 653479200.

The previous prime is 1353872011. The next prime is 1353872053. The reversal of 1353872025 is 5202783531.

It is a happy number.

The square root of 1353872025 is 36795.

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., 487393929 + 866478096 = 22077^2 + 29436^2 .

It is not a de Polignac number, because 1353872025 - 2¹¹ = 1353869977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6071064 + ... + 6071286.

Almost surely, 2^1353872025 is an apocalyptic number.

1353872025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1353872025 is the 36795-th square number.

1353872025 is the 18398-th centered octagonal number.

It is an amenable number.

1353872025 is a deficient number, since it is larger than the sum of its proper divisors (1323558822).

1353872025 is a wasteful number, since it uses less digits than its factorization.

1353872025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The cubic root of 1353872025 is about 1106.2650826250.

Multiplying 1353872025 by its sum of digits (36), we get a square (48739392900 = 220770²).

It can be divided in two parts, 1353 and 872025, that added together give a palindrome (873378).

The spelling of 1353872025 in words is "one billion, three hundred fifty-three million, eight hundred seventy-two thousand, twenty-five".