1742645025 has 135 divisors (see below), whose sum is σ = 3589144195. Its totient is φ = 808183200.

The previous prime is 1742644999. The next prime is 1742645033. The reversal of 1742645025 is 5205462471.

It is a happy number.

The square root of 1742645025 is 41745.

It is a perfect power (a square), and thus also a powerful number.

1742645025 is a `hidden beast` number, since 1 + 7 + 4 + 2 + 645 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 627352209 + 1115292816 = 25047^2 + 33396^2 .

It is not a de Polignac number, because 1742645025 - 2¹⁷ = 1742513953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 75767164 + ... + 75767186.

Almost surely, 2^1742645025 is an apocalyptic number.

1742645025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1742645025 is the 41745-th square number.

1742645025 is the 20873-rd centered octagonal number.

It is an amenable number.

1742645025 is an abundant number, since it is smaller than the sum of its proper divisors (1846499170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1742645025 is an equidigital number, since it uses as much as digits as its factorization.

1742645025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The cubic root of 1742645025 is about 1203.3805198785.

Multiplying 1742645025 by its sum of digits (36), we get a square (62735220900 = 250470²).

The spelling of 1742645025 in words is "one billion, seven hundred forty-two million, six hundred forty-five thousand, twenty-five".