1023332541 has 64 divisors (see below), whose sum is σ = 1771960320. Its totient is φ = 509725440.

The previous prime is 1023332539. The next prime is 1023332543. The reversal of 1023332541 is 1452333201.

It is an interprime number because it is at equal distance from previous prime (1023332539) and next prime (1023332543).

It is not a de Polignac number, because 1023332541 - 2¹ = 1023332539 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023332543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1158486 + ... + 1159368.

It is an arithmetic number, because the mean of its divisors is an integer number (27686880).

Almost surely, 2^1023332541 is an apocalyptic number.

1023332541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1023332541 is a deficient number, since it is larger than the sum of its proper divisors (748627779).

1023332541 is a wasteful number, since it uses less digits than its factorization.

1023332541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1023332541 is about 31989.5692531175. The cubic root of 1023332541 is about 1007.7177960555.

Adding to 1023332541 its reverse (1452333201), we get a palindrome (2475665742).

The spelling of 1023332541 in words is "one billion, twenty-three million, three hundred thirty-two thousand, five hundred forty-one".