1020507200 has 42 divisors (see below), whose sum is σ = 2511089466. Its totient is φ = 408202240.

The previous prime is 1020507199. The next prime is 1020507203. The reversal of 1020507200 is 27050201.

It can be written as a sum of positive squares in 3 ways, for example, as 170668096 + 849839104 = 13064^2 + 29152^2 .

It is not an unprimeable number, because it can be changed into a prime (1020507203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 317309 + ... + 320508.

Almost surely, 2^1020507200 is an apocalyptic number.

1020507200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020507200 is an abundant number, since it is smaller than the sum of its proper divisors (1490582266).

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

1020507200 is an equidigital number, since it uses as much as digits as its factorization.

1020507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637839 (or 637824 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 1020507200 is about 31945.3783824828. The cubic root of 1020507200 is about 1006.7895312711.

Adding to 1020507200 its reverse (27050201), we get a palindrome (1047557401).

The spelling of 1020507200 in words is "one billion, twenty million, five hundred seven thousand, two hundred".