1516361010 has 64 divisors (see below), whose sum is σ = 3744029952. Its totient is φ = 392760576.

The previous prime is 1516360999. The next prime is 1516361017. The reversal of 1516361010 is 101636151.

It is not an unprimeable number, because it can be changed into a prime (1516361017) 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, 1239259 + ... + 1240481.

It is an arithmetic number, because the mean of its divisors is an integer number (58500468).

Almost surely, 2^1516361010 is an apocalyptic number.

1516361010 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 1516361010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872014976).

1516361010 is an abundant number, since it is smaller than the sum of its proper divisors (2227668942).

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

1516361010 is a wasteful number, since it uses less digits than its factorization.

1516361010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387.

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1516361010 is about 38940.4803514286. The cubic root of 1516361010 is about 1148.8611308754.

Adding to 1516361010 its reverse (101636151), we get a palindrome (1617997161).

It can be divided in two parts, 1516 and 361010, that added together give a triangular number (362526 = T₈₅₁).

The spelling of 1516361010 in words is "one billion, five hundred sixteen million, three hundred sixty-one thousand, ten".