1501300 has 18 divisors (see below), whose sum is σ = 3258038. Its totient is φ = 600480.

The previous prime is 1501261. The next prime is 1501303. The reversal of 1501300 is 31051.

It can be written as a sum of positive squares in 3 ways, for example, as 197136 + 1304164 = 444^2 + 1142^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1501303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7407 + ... + 7606.

2^1501300 is an apocalyptic number.

1501300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1501300 is an abundant number, since it is smaller than the sum of its proper divisors (1756738).

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

1501300 is a wasteful number, since it uses less digits than its factorization.

1501300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15027 (or 15020 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 1501300 is about 1225.2754792291. The cubic root of 1501300 is about 114.5044842291.

Adding to 1501300 its reverse (31051), we get a palindrome (1532351).

It can be divided in two parts, 150 and 1300, that multiplied together give a triangular number (195000 = T₆₂₄).

The spelling of 1501300 in words is "one million, five hundred one thousand, three hundred".