1505252010 has 64 divisors (see below), whose sum is σ = 3814024320. Its totient is φ = 379146240.

The previous prime is 1505251999. The next prime is 1505252011. The reversal of 1505252010 is 102525051.

It is a super-2 number, since 2×1505252010² = 4531567227218080200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1505252011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197470 + ... + 204950.

It is an arithmetic number, because the mean of its divisors is an integer number (59594130).

Almost surely, 2^1505252010 is an apocalyptic number.

1505252010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1505252010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907012160).

1505252010 is an abundant number, since it is smaller than the sum of its proper divisors (2308772310).

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

1505252010 is a wasteful number, since it uses less digits than its factorization.

1505252010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7863.

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 1505252010 is about 38797.5773728206. The cubic root of 1505252010 is about 1146.0486975581.

Adding to 1505252010 its reverse (102525051), we get a palindrome (1607777061).

The spelling of 1505252010 in words is "one billion, five hundred five million, two hundred fifty-two thousand, ten".