35628450025 has 27 divisors (see below), whose sum is σ = 51401752581. Its totient is φ = 24426407040.

The previous prime is 35628449971. The next prime is 35628450049. The reversal of 35628450025 is 52005482653.

It is a happy number.

The square root of 35628450025 is 188755.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6062335321 + 29566114704 = 77861^2 + 171948^2 .

It is not a de Polignac number, because 35628450025 - 2³¹ = 33480966377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 35628450025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6603729 + ... + 6609121.

Almost surely, 2^35628450025 is an apocalyptic number.

35628450025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

35628450025 is the 188755-th square number.

35628450025 is the 94378-th centered octagonal number.

It is an amenable number.

35628450025 is a deficient number, since it is larger than the sum of its proper divisors (15773302556).

35628450025 is an frugal number, since it uses more digits than its factorization.

35628450025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10810 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 35628450025 in words is "thirty-five billion, six hundred twenty-eight million, four hundred fifty thousand, twenty-five".