1461053052 has 84 divisors (see below), whose sum is σ = 3888054576. Its totient is φ = 480090240.

The previous prime is 1461052991. The next prime is 1461053063. The reversal of 1461053052 is 2503501641.

1461053052 is a `hidden beast` number, since 14 + 610 + 5 + 30 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 203508 + ... + 210564.

It is an arithmetic number, because the mean of its divisors is an integer number (46286364).

Almost surely, 2^1461053052 is an apocalyptic number.

1461053052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461053052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944027288).

1461053052 is an abundant number, since it is smaller than the sum of its proper divisors (2427001524).

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

1461053052 is an equidigital number, since it uses as much as digits as its factorization.

1461053052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7150 (or 7133 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1461053052 is about 38223.7236804579. The cubic root of 1461053052 is about 1134.7198754960.

Adding to 1461053052 its reverse (2503501641), we get a palindrome (3964554693).

The spelling of 1461053052 in words is "one billion, four hundred sixty-one million, fifty-three thousand, fifty-two".