35130004900 has 27 divisors (see below), whose sum is σ = 76236178081. Its totient is φ = 14051252240.

The previous prime is 35130004843. The next prime is 35130005047. The reversal of 35130004900 is 940003153.

The square root of 35130004900 is 187430.

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., 12646801764 + 22483203136 = 112458^2 + 149944^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1864929 + ... + 1883671.

Almost surely, 2^35130004900 is an apocalyptic number.

35130004900 is the 187430-th square number.

It is an amenable number.

35130004900 is an abundant number, since it is smaller than the sum of its proper divisors (41106173181).

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

35130004900 is an frugal number, since it uses more digits than its factorization.

35130004900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37500 (or 18750 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

Multiplying 35130004900 by its sum of digits (25), we get a square (878250122500 = 937150²).

35130004900 divided by its sum of digits (25) gives a square (1405200196 = 37486²).

The spelling of 35130004900 in words is "thirty-five billion, one hundred thirty million, four thousand, nine hundred".